Local TV News Pew Research reported that 46 % of Americans surveyed in 2016 got their news from local television. A similar survey conducted in 2017 found that 37 % of Americans got their news from local television. Assume the sample size for each poll was 1200. a. Construct the 95 % confidence interval for the difference in the proportions of Americans who get their news from local television in 2016 and 2017. b. Based on your interval, do you think there has been a change in the pro-portion of Americans who get their news from local television? Explain.
Local TV News Pew Research reported that 46 % of Americans surveyed in 2016 got their news from local television. A similar survey conducted in 2017 found that 37 % of Americans got their news from local television. Assume the sample size for each poll was 1200. a. Construct the 95 % confidence interval for the difference in the proportions of Americans who get their news from local television in 2016 and 2017. b. Based on your interval, do you think there has been a change in the pro-portion of Americans who get their news from local television? Explain.
Solution Summary: The author calculates the confidence interval for the difference in the proportion of Americans who got their news from local news in 2016 and 2017. The sample size of each poll is 1200.
Local TV News Pew Research reported that
46
%
of Americans surveyed in 2016 got their news from local television. A similar survey conducted in 2017 found that
37
%
of Americans got their news from local television. Assume the sample size for each poll was 1200.
a. Construct the
95
%
confidence interval for the difference in the proportions of Americans who get their news from local television in 2016 and 2017.
b. Based on your interval, do you think there has been a change in the pro-portion of Americans who get their news from local television? Explain.
Definition Definition Number of subjects or observations included in a study. A large sample size typically provides more reliable results and better representation of the population. As sample size and width of confidence interval are inversely related, if the sample size is increased, the width of the confidence interval decreases.
Find the critical value for a left-tailed test using the F distribution with a 0.025, degrees of freedom in the numerator=12, and degrees of freedom in the
denominator = 50. A portion of the table of critical values of the F-distribution is provided.
Click the icon to view the partial table of critical values of the F-distribution.
What is the critical value?
(Round to two decimal places as needed.)
A retail store manager claims that the average daily sales of the store are $1,500.
You aim to test whether the actual average daily sales differ significantly from this claimed value.
You can provide your answer by inserting a text box and the answer must include:
Null hypothesis,
Alternative hypothesis,
Show answer (output table/summary table), and
Conclusion based on the P value.
Showing the calculation is a must. If calculation is missing,so please provide a step by step on the answers
Numerical answers in the yellow cells
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